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Finding the Fourth Proportional to 578.53, 798.45 and 342.55

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Solution

The fourth proportional to 578.53, 798.45 and 342.55 is: 472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.53 : 798.45 = 342.55 : x
  2. Step 2: Convert to fraction form
    578.53/798.45 = 342.55/x
  3. Step 3: Cross multiply
    578.53x = 798.45 × 342.55
  4. Step 4: Simplify right side
    578.53x = 273,509.05
  5. Step 5: Solve for x
    x = 273,509.05/578.53
  6. Step 6: Final answer
    x = 472.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.